416016 has 60 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 137376.

The previous prime is 416011. The next prime is 416023. The reversal of 416016 is 610614.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 416016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 416016.

It is not an unprimeable number, because it can be changed into a prime (416011) by changing a digit.

416016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3835 + ... + 3941.

2⁴¹⁶⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

416016 is an abundant number, since it is smaller than the sum of its proper divisors (802656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416016 is a wasteful number, since it uses less digits than its factorization.

416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 416016 is about 644.9930232181. The cubic root of 416016 is about 74.6511801782.

The spelling of 416016 in words is "four hundred sixteen thousand, sixteen".